Open Access Open Access  Restricted Access Subscription or Fee Access

Nash Equilibrium of Discrete Time Two-Person Game for Descriptor Systems



In this paper we study difference equations appearing in the necessary optimality conditions of noncooperative open loop Nash games with the players are given control to descriptor systems. Since these equations are coupled nonsymmetric Riccati difference equations, their qualitative behaviour is essentially different from that of standard (symmetric) Riccati equations. Moreover we study also the properties of the solutions of the corresponding algebraic Riccati equations.


Noncooperative dynamic games, Nash strategies, Coupled Riccati equations, descriptor systems.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.